| Orateur(s) | Chris Miller - Ohio State,
|
| Titre | Beyond o-minimality, and why |
| Date | 19/05/2017 |
| Horaire | 11:00 à 12:30 |
|
| Diffusion | |
| Résume | O-minimal structures on the real field have many desirable properties. As examples:
(a) Hausdorff (and even packing) dimension agrees with topological dimension on locally closed definable sets.
(b) Locally closed definable sets have few rational points (in the sense of the Pila-Wilkie Theorem).
(c) For each positive integer p, every closed definable set is the zero set of a definable C^p function.
(d) Connected components of definable sets are definable.
But to what extent is o-minimality necessary for these properties to hold? I will discuss this question, and illustrate via examples as to why one might care about answers. |
| Salle | salle Pierre Grisvard, IHP |
| Adresse | IHP |
